If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 9xy³. fiz(x, y) fry (x, y) =…

A: To find out the double partial derivatives.

Q: Consider the following. u = -7i - 4j - 2k, v = 4j + 4k (a) Find the projection of u onto v. -12 2k X…

A: Given :u=-7i-4j-2kv=4j+4k

Q: For the following problems, draw graphs of f (x), which is continuous, over the interval [-4, 4]…

A: The function fx is continuous on the interval -4,4 and has absolute maximum at x=2 and has absolute…

Q: Problem 2.5 Evaluate lim x →0+ 1 (-/-)

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Q: I'm looking for a more expanded explanation on how to graph f(x) = -3sin(x).   I'm not…

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Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.)…

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -90x + 120y + 60z…

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Q: If cos(t): sin(t) = cos(-t) = 7 and tan (t) > 0, find sin(t) and cos(-t) 10

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,

Q: Find the Laplace Transform of f(t) = sin2tcost A B 2 54 +55² +4 2 Ⓒ 4 E s² +3 s+10s² +9. ( 5++55²+4)…

A: Given problem:- Find the Laplace Transform of f(t) = sin2tcost

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In√√x² + y2, (3,…

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Q: Solve the given differential equation by undetermined coefficients. y" + 16y = 5 sin(x) y(x)

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Q: #10 M8 0=1 n² +8 a. Comparison test with 1.5 Shows the series diverges. n' b. limit comparison test…

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = u = 5i + 2j + k v=i+j+ 7k w = i…

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Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

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Q: y(2xy +1) dx + x (1 +2xy - x³y³) dy = 0

A: See this solution in below

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: -2 -1 1+ 0 f'(x) 2 XY

A: the answer is given in step2

Q: 3 y = (₁ ² +1) ² Gi Find 13y dx²

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

A: This question is related to Laplace transform, we will solve it using given information.

Q: Evaluate the triple integral of f(x, y, z) = cos(x² + y²) over the solid cylinder with height 8 and…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: ASK YOUR TEACHER Find sets of parametric equations and symmetric equations of the line that passes…

A: This question is based on 3-d line equation.

Q: IVIC Question 8 of 10 y The tangent line to the curve y=f(x) at r=1 goes ough the points (-1,3)…

A: To find out the value of f(1) and f'(1).

Q: Let f(x, y, z)= = fz(x, y, z)= fy(x, y, z)= fz(x, y, z)= 2² - 2y² I y² + 4z² Then

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Q: Rewrite the expression as a single logarithm. In 8-In 4 ○ In√2 ○ In (2)-6 咖啡 °)

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: A detailed solution is given below

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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Q: PLEASE

A: As per policy only first question is answered. Please refer to the image below

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: here is the solution:

Q: Find the gradient of the function at the given point. g(x, y) = 6xe/x, (17, 0) Vg(17,0) =

A: Given problem:- find the gradient of the function at point (17,0) of g(x,y)=6xey/x

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: Determine the remaining sides and angles of the triangle ABC. What is the measure of angle B? 0° B…

A: This is a problem related to sine cosine rule of trigonometry. Please follow the procedure given…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Problem 2.7 Let Find the limit lim f(x). x 0 f(x) = x² if x is rational 0 if x is irrational.

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Q: 4 n=n? + 2n 1 4. Σ -(x-3)"

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: A x Given that cosa= and 0 <a<, determine the exact value of cos 3 A cos = (Simplify your answer,…

A: All trigonometry ratio are positive in first quadrant .

Q: Without using a calculator, evaluate, if possible, the following expression. 4π 3 sin sin ...

A: We will find the value.

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j…

A: This question is based on dot product of two vector. (a i + b j).(c i + d j) = ac + bd

Q: 4. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 9x on the…

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Q: Explain why the integral is improper. 100 1 10 X 1.4 converges diverges 1.2 1 y 0.8- 0.6 dx 0.4 0.2…

A: To find the value of an improper integral, convert the integral in terms of limits. If the resulting…

Q: 1 Q BAS 6 2 [//dx Which of the following is the integrand in the definite integral above? Select the…

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Q: (2x +3y) dx + (y +2) dy = 0

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